Simplify

Problem 2201

Simplify: $\left(4 x^{5} y^{0}\right)\left(6 x^{0}\right)$

See Solution

Problem 2202

Simplify the expression completely: $\frac{1}{4 y^{-9}}=$ $\square$

See Solution

Problem 2203

Express $\ln \sqrt[3]{54}$ in terms of $\ln 2$ and/or $\ln 3$ . $\ln \sqrt[3]{54}=$ $\square$ (Type an exact answer.)

See Solution

Problem 2204

Use the properties of logarithms to simplify the expression $\ln (\sin \theta)-\ln \left(\frac{\sin \theta}{4}\right)$ . $\ln (\sin \theta)-\ln \left(\frac{\sin \theta}{4}\right)=\square$ (Type an exact answer.)

See Solution

Problem 2205

Simplify these expressions: A) $\sqrt{81}=$ B) $\sqrt{16}=$

See Solution

Problem 2206

Simplify the expression: $\sqrt{162 y^{4} m z^{2}}=$

See Solution

Problem 2207

Simplify these expressions: A) $\sqrt{\sqrt{16}}=$ B) $\sqrt{4}+\sqrt{64}=$

See Solution

Problem 2208

Combine like terms for: $4 x^{2}+5 x^{2}$ , $7 x+3 x$ , $11 x^{5}+6 x$ , and $4 x+2 x+5 x$ .

See Solution

Problem 2209

Calcula y simplifica: $1-\left[\frac{3}{2} \cdot 5-\frac{1}{2} \cdot\left(\frac{2}{3}+\frac{1}{9}\right)\right]$

See Solution

Problem 2210

Calcula y simplifica: $1-\left[\frac{3}{2} \cdot 5-\frac{1}{2} \cdot\left(\frac{2}{3}+\frac{1}{9}\right)\right]$

See Solution

Problem 2211

Calcula y simplifica: $1-\left[\frac{3}{2} \cdot 5-\frac{1}{2} \cdot\left(\frac{2}{3}+\frac{1}{9}\right)\right]=$

See Solution

Problem 2212

Calculate the expression: $\frac{18}{5-2}-5$ .

See Solution

Problem 2213

Calculate: $\frac{15+3}{9} \cdot 7$

See Solution

Problem 2214

Calculate $(9+7)-(7-2)$ .

See Solution

Problem 2215

Calculate $3 \cdot \frac{10}{2+8} \cdot 9$ .

See Solution

Problem 2216

Simplify the expression: $\left(\frac{a^{2}}{b}\right)^{4}\left(\frac{a^{3} b^{2}}{c^{2}}\right)^{3}$ .

See Solution

Problem 2217

Simplify the expression: $(3 z)^{2}(12 z^{3})^{-3}$ .

See Solution

Problem 2218

Write 2.1 × 10^{5} in standard form.

See Solution

Problem 2219

Convert $.00013$ to scientific notation.

See Solution

Problem 2220

Simplify the expression: $(3 y^{3})^{2}=$

See Solution

Problem 2221

Calculate the value of $-2-(4 * 3)$ .

See Solution

Problem 2222

Simplify: $\sqrt{\frac{49 y^{3}}{5 t^{2}}} =$

See Solution

Problem 2223

Simplify the expression $\frac{\sqrt{15 b^{6} c^{11}}}{\sqrt{5 b^{4} c^{7}}}$ , assuming all variables are positive.

See Solution

Problem 2224

Simplify: $7 \sqrt{24 x} - 6 \sqrt{294 x}$ completely.

See Solution

Problem 2225

Simplify: $3 \sqrt{2} + \sqrt{32}$

See Solution

Problem 2226

Rationalize the denominator of the expression $3+\sqrt{7}$ . What is the simplified result?

See Solution

Problem 2227

Rationalize the denominator of $\frac{6}{3+\sqrt{7}}$ . What is the simplified result?

See Solution

Problem 2228

Calculate $6 \times \frac{2}{3}$ .

See Solution

Problem 2229

Rewrite $x^{\frac{5}{9}}$ as a radical expression. $x^{\frac{5}{9}} =$

See Solution

Problem 2230

Simplify $2 \sqrt[4]{32 x^{19}}$ and express the answer in radical form, assuming $x > 0$ .

See Solution

Problem 2231

Simplify the expression using order of operations: $2[5+4(7 \cdot 4-24)]=$

See Solution

Problem 2232

Simplify the expression: $\frac{1}{5} x + \frac{1}{11}(x + 16)$ .

See Solution

Problem 2233

Write the product with a single base: $((4 x)^{4})^{3}=$

See Solution

Problem 2234

Simplify: $x^{3} y^{3} / x^{3} y^{2}$ . Choose the correct answer: a. $x y$ , b. $x$ , c. $y$ , d. $x y / x$ .

See Solution

Problem 2235

Simplify: $\frac{(9 b)^{6}}{(9 b)^{12}}$

See Solution

Problem 2236

Add $1 / x + 1 / y$ . What is the result? a. $1 /(x+y)$ b. $2 /(x+y)$ c. $(x+y) / xy$ d. $x+y$

See Solution

Problem 2237

Rewrite 8.193 times 10 to the power of 10 in decimal form without using exponents or scientific notation.

See Solution

Problem 2238

Rewrite 883,600,000 in scientific notation.

See Solution

Problem 2239

Simplify the expression using exponent properties: $\frac{x^{\frac{3}{5}}}{x^{\frac{1}{3}}}=$

See Solution

Problem 2240

Divide $3.525 \times 10^{10}$ by $4.7 \times 10^{-39}$ and express the result in scientific notation.

See Solution

Problem 2241

Simplify $\sqrt{3} \cdot \sqrt{21}$ and provide the answer in exact form.

See Solution

Problem 2242

Simplify $\sqrt{49 m^{5} j^{6}}$ .

See Solution

Problem 2243

Simplify: $2 \sqrt{2}+\sqrt{8}$

See Solution

Problem 2244

Simplify: $15 \sqrt{72 x} - 11 \sqrt{98 x}$

See Solution

Problem 2245

Rationalize the denominator of the expression: $\frac{-4}{6+\sqrt{7}}$ .

See Solution

Problem 2246

Simplify $-5 \sqrt[3]{625 x^{8}}$ fully and express the answer in radical form.

See Solution

Problem 2247

Factor the polynomial completely or state if it's prime: $4 x^{2}-4 x-24$

See Solution

Problem 2248

Factor the polynomial $x^{2}-x-20$ . Options: $(x+1)(x-20)$ , $(x+4)(x-5)$ , $(x+5)(x-4)$ , prime.

See Solution

Problem 2249

Simplify $-5 \sqrt[3]{625 x^{8}}$ and express the answer in radical form.

See Solution

Problem 2250

Write the decimals in expanded notation: 18.025 and 130.04.

See Solution

Problem 2251

Factor completely: $\frac{x^{2}-10 x+25 y-y^{2}}{4}+\frac{5}{x}-5$

See Solution

Problem 2252

Factor the equation $x^{2}-10 x+25-y^{2}$ fully.

See Solution

Problem 2253

Factor the polynomial $x^{\frac{2}{3}} - 5x^{\frac{1}{3}} + 6$ .

See Solution

Problem 2254

Factor the expression $25(x+7)^{2}-100$ .

See Solution

Problem 2255

Express 350% as a mixed number in simplest form. $350\% =$

See Solution

Problem 2256

Calculate the result of the expression $30 \cdot 95 / 76$ .

See Solution

Problem 2257

Calculate the value of $30 \cdot 12 / 13$ .

See Solution

Problem 2258

Calculate the value of $30 \cdot 42 / 20$ .

See Solution

Problem 2259

Find the value of $\csc 3150^{\circ}$ .

See Solution

Problem 2260

Calcula y simplifica: a) $\frac{\overline{\left(\frac{2}{3}-\frac{1}{2} \cdot \frac{4}{15}\right)}-\overline{\left(\frac{2}{10}+\frac{3}{5}\right)}}{\left(\frac{2}{3}+\frac{4}{9}\right)-7 \cdot\left(\frac{3}{5} \cdot \frac{10}{7}-\frac{2}{5}\right)}$

See Solution

Problem 2261

Simplifique: $\frac{-75}{5}$

See Solution

Problem 2262

Find the simplest form of the quotient: $\frac{12}{7} \div 3$ .

See Solution

Problem 2263

Find the simplest form of the quotient: $\frac{3}{4} \div \frac{5}{16}$ .

See Solution

Problem 2264

Round 400,000 to three significant figures, using scientific notation if needed.

See Solution

Problem 2265

Find an equivalent expression for the total cost of gift cards: $14 \ell + 42 a$ .

See Solution

Problem 2266

Calculate $[10 \times(9-2)]+17$ .

See Solution

Problem 2267

Calculate the expression: $48 - 19 - 27 + 9$ .

See Solution

Problem 2268

Calculate $18 \div 3^{2} - 1 + 15$ .

See Solution

Problem 2269

Convert $2^{x}=3$ to logarithmic form.

See Solution

Problem 2270

Solve the equation $3 x - \frac{1}{5} - \frac{2}{9} x = \frac{124}{5}$ . Simplify by combining like terms.

See Solution

Problem 2271

Simplify: $\frac{\left(2 a^{4} b\right)^{2} \times 6\left(a b^{0}\right)^{2}}{a\left(3 b^{5}\right)^{0} \times\left(2 a^{2}\right)^{3}}$

See Solution

Problem 2272

Solve the equation $3x - \frac{1}{5} - \frac{2}{9}x = \frac{124}{5}$ . Combine like terms and isolate $x$ .

See Solution

Problem 2273

Rationalize the denominator of: $\frac{4}{3-\sqrt{7}}$ .

See Solution

Problem 2274

Simplify the expression $(-2 x)(-3 y)+(2 y)(-4 x)$ .

See Solution

Problem 2275

Calculate $(-5 x)(-3 y)-(2 x)(-3 y)$ .

See Solution

Problem 2276

Factor the following expressions:
11. $6 a-48$
13. $12 c-28 d+52$
15. $14 f^{3}+42 f^{5}-77 f^{7}$
17. $42 j^{2} k-78 j k^{3}+66 j^{3} k^{4}$
19. $-8 p^{3} q-16 p^{2}-p^{8} q$
21. $5 t^{4} u+k t^{3} u^{2}-10 t^{4}$
23. $64 w^{2} x+28 w^{4} x-72 w^{3} x$
25. $36 x^{3}-42 y^{4}+24 z$
27. $85 c d^{4}-60 c^{3} d^{2}+95 c d$
29. $g^{2} b^{3} j^{2}+g^{3} h k^{2}-b^{7} k^{3} m$
31. $459 x-621$
33. $161-460 x$
35. $8 a c-2 a d+4 b c-b d$
37. $2 m^{2} n+2 r n+4 m^{2} p+4 r p$
39. $a^{2} c^{2}-b^{2} c^{2}-4 a^{2} d^{2}+4 b^{2} d^{2}$
41. $k^{3}+k^{2}+k+1$
43. $u^{3}+2 u^{2}+u+2$

See Solution

Problem 2277

Simplify the expression: $-4 x(-3 y-7 z+2 x)+3 y(2 x+y)$ .

See Solution

Problem 2278

Express $a$ in terms of $y$ , $z$ , and $x$ from the equation $a x + y = z$ .

See Solution

Problem 2279

Simplify the expression: $(3 x)^{2}$ .

See Solution

Problem 2280

Simplify the expression $\left(x^{-11}\right)^{-3}$ .

See Solution

Problem 2281

Simplify the expression: $7x - 2(3x - 4) + 11$

See Solution

Problem 2282

Solve the expression: $-7 x - 2(3 x - 4) + 11$ .

See Solution

Problem 2283

Simplify the unit $7.3 \frac{\mathrm{g} \cdot \mathrm{cm}}{\mathrm{cm}^{2} \cdot \mathrm{cm}^{2}}$ to its simplest form.

See Solution

Problem 2284

Write the number 30000 in scientific notation.

See Solution

Problem 2285

Convert -0.003107 to scientific notation.

See Solution

Problem 2286

Find the sum of $5x - 2 + 3x$ and $5(7 - x)$ .

See Solution

Problem 2287

Simplify the fraction $\frac{\sqrt{3}}{\frac{2 \pi}{3}}$ and write the answer as $\frac{\Delta y}{\Delta t}=\square$ .

See Solution

Problem 2288

Adobe Acrobat Counting and Probability Factorial expressions
Evaluate. $\frac{5!7!}{3!6!}$
Simplify your answer as much as possible. $\square$ Explanation Check

See Solution

Problem 2289

Factorial expressions
Evaluate. $\frac{10!6!}{8!8!}$
Simplify your answer a $\square$

See Solution

Problem 2290

Evaluate. $\frac{3!5!}{6!4!}$
Simplify your answer as much as possible. $\square$

See Solution

Problem 2291

$2!5!$ mplify your answer as much as possible.

See Solution

Problem 2292

Subtract the fractions. Reduce the answer to lowest terms. $\frac{15}{16}-\frac{11}{16}$ $\frac{15}{16}-\frac{11}{16}=$ $\square$ (Simplify your answer.)

See Solution

Problem 2293

Simplify the radical expression. $\sqrt[3]{1000 x^{9}}$
Write your answer in the form $A, \sqrt[3]{B}$ , or $A \sqrt[3]{B}$ , where $A$ an in x . Use at most one radical in your answer, and at most expression for A .

See Solution

Problem 2294

Additionne.
23. $\left(m^{2}+3 m-5\right)+\left(2 m^{2}-5 m+7\right)$
24. $\left(5 a+3 a^{2}-2\right)+\left(a^{2}+3 a+4\right)$
25. $\left(b+5-2 b^{2}\right)+\left(1-2 b+b^{2}\right)$

See Solution

Problem 2295

4 $\qquad$ olifie les expressions suivantes.

See Solution

Problem 2296

$2.3 \& 12.1$ Question 7, 2.3.45 HW Score: 27.27\%, 6 of 22 points ) Points: 0 of 1 Save
An equation of the line $L$ is $\square$ (Simplify your answer. Use integers or fractions for any numbers in the equation.)

See Solution

Problem 2297

Write the following with positive exponents. Then simplify as much as possible. $(-2)^{-5}=$ $\square$

See Solution

Problem 2298

Use properties of exponents to simply the expression. Write all answers with positive exponents only. (Assume all variables are nonzero.) $\left(\frac{a^{9}}{a^{3}}\right)^{3}=$ $\square$

See Solution

Problem 2299

a. Factorise: i. $p\left(4 q^{2}-9 r^{2}\right)-q r(3 r-2 q)$ , ii. $S(2-S)(1-S)+S^{2}(S+3)$ b. Given that $x+y=12$ and $x^{2}-y^{2}=36$ , find the value of $7 x-7 y$ . [30 marks]

See Solution

Problem 2300

$\frac{-\frac{2}{3}}{\frac{10}{7}}$

See Solution

1 ...20 21 22 23 24 25 26 ...56

Simplify

Problem 2201

Simplify: (4x5y0)(6x0)\left(4 x^{5} y^{0}\right)\left(6 x^{0}\right)(4x5y0)(6x0)

Problem 2202

Simplify the expression completely: 14y−9=\frac{1}{4 y^{-9}}=4y−91​= □\square□

Problem 2203

Express ln⁡543\ln \sqrt[3]{54}ln354​ in terms of ln⁡2\ln 2ln2 and/or ln⁡3\ln 3ln3. ln⁡543=\ln \sqrt[3]{54}=ln354​= □\square□ (Type an exact answer.)

Problem 2204

Problem 2205

Simplify these expressions: A) 81=\sqrt{81}=81​= B) 16=\sqrt{16}=16​=

Problem 2206

Simplify the expression: 162y4mz2=\sqrt{162 y^{4} m z^{2}}=162y4mz2​=

Problem 2207

Simplify these expressions: A) 16=\sqrt{\sqrt{16}}=16​​= B) 4+64=\sqrt{4}+\sqrt{64}=4​+64​=

Problem 2208

Combine like terms for: 4x2+5x24 x^{2}+5 x^{2}4x2+5x2, 7x+3x7 x+3 x7x+3x, 11x5+6x11 x^{5}+6 x11x5+6x, and 4x+2x+5x4 x+2 x+5 x4x+2x+5x.

Problem 2209

Calcula y simplifica: 1−[32⋅5−12⋅(23+19)]1-\left[\frac{3}{2} \cdot 5-\frac{1}{2} \cdot\left(\frac{2}{3}+\frac{1}{9}\right)\right]1−[23​⋅5−21​⋅(32​+91​)]

Problem 2210

Calcula y simplifica: 1−[32⋅5−12⋅(23+19)]1-\left[\frac{3}{2} \cdot 5-\frac{1}{2} \cdot\left(\frac{2}{3}+\frac{1}{9}\right)\right]1−[23​⋅5−21​⋅(32​+91​)]

Problem 2211

Calcula y simplifica: 1−[32⋅5−12⋅(23+19)]=1-\left[\frac{3}{2} \cdot 5-\frac{1}{2} \cdot\left(\frac{2}{3}+\frac{1}{9}\right)\right]=1−[23​⋅5−21​⋅(32​+91​)]=

Problem 2212

Calculate the expression: 185−2−5\frac{18}{5-2}-55−218​−5.

Problem 2213

Calculate: 15+39⋅7\frac{15+3}{9} \cdot 7915+3​⋅7

Problem 2214

Calculate (9+7)−(7−2)(9+7)-(7-2)(9+7)−(7−2).

Problem 2215

Calculate 3⋅102+8⋅93 \cdot \frac{10}{2+8} \cdot 93⋅2+810​⋅9.

Problem 2216

Simplify the expression: (a2b)4(a3b2c2)3\left(\frac{a^{2}}{b}\right)^{4}\left(\frac{a^{3} b^{2}}{c^{2}}\right)^{3}(ba2​)4(c2a3b2​)3.

Problem 2217

Simplify the expression: (3z)2(12z3)−3(3 z)^{2}(12 z^{3})^{-3}(3z)2(12z3)−3.

Problem 2218

Write 2.1 × 10^{5} in standard form.

Problem 2219

Convert .00013.00013.00013 to scientific notation.

Problem 2220

Simplify the expression: (3y3)2=(3 y^{3})^{2}=(3y3)2=

Problem 2221

Calculate the value of −2−(4∗3)-2-(4 * 3)−2−(4∗3).

Problem 2222

Simplify: 49y35t2=\sqrt{\frac{49 y^{3}}{5 t^{2}}} =5t249y3​​=

Problem 2223

Simplify the expression 15b6c115b4c7\frac{\sqrt{15 b^{6} c^{11}}}{\sqrt{5 b^{4} c^{7}}}5b4c7​15b6c11​​, assuming all variables are positive.

Problem 2224

Simplify: 724x−6294x7 \sqrt{24 x} - 6 \sqrt{294 x}724x​−6294x​ completely.

Problem 2225

Simplify: 32+323 \sqrt{2} + \sqrt{32}32​+32​

Problem 2226

Rationalize the denominator of the expression 3+73+\sqrt{7}3+7​. What is the simplified result?

Problem 2227

Rationalize the denominator of 63+7\frac{6}{3+\sqrt{7}}3+7​6​. What is the simplified result?

Problem 2228

Calculate 6×236 \times \frac{2}{3}6×32​.

Problem 2229

Rewrite x59x^{\frac{5}{9}}x95​ as a radical expression. x59=x^{\frac{5}{9}} =x95​=

Problem 2230

Simplify 232x1942 \sqrt[4]{32 x^{19}}2432x19​ and express the answer in radical form, assuming x>0x > 0x>0.

Problem 2231

Simplify the expression using order of operations: 2[5+4(7⋅4−24)]=2[5+4(7 \cdot 4-24)]=2[5+4(7⋅4−24)]=

Problem 2232

Simplify the expression: 15x+111(x+16)\frac{1}{5} x + \frac{1}{11}(x + 16)51​x+111​(x+16).

Problem 2233

Write the product with a single base: ((4x)4)3=((4 x)^{4})^{3}=((4x)4)3=

Problem 2234

Simplify: x3y3/x3y2x^{3} y^{3} / x^{3} y^{2}x3y3/x3y2. Choose the correct answer: a. xyx yxy, b. xxx, c. yyy, d. xy/xx y / xxy/x.

Problem 2235

Simplify: (9b)6(9b)12\frac{(9 b)^{6}}{(9 b)^{12}}(9b)12(9b)6​

Problem 2236

Add 1/x+1/y1 / x + 1 / y1/x+1/y. What is the result? a. 1/(x+y)1 /(x+y)1/(x+y) b. 2/(x+y)2 /(x+y)2/(x+y) c. (x+y)/xy(x+y) / xy(x+y)/xy d. x+yx+yx+y

Problem 2237

Rewrite 8.193 times 10 to the power of 10 in decimal form without using exponents or scientific notation.

Problem 2238

Rewrite 883,600,000 in scientific notation.

Problem 2239

Simplify the expression using exponent properties: x35x13=\frac{x^{\frac{3}{5}}}{x^{\frac{1}{3}}}=x31​x53​​=

Problem 2240

Divide 3.525×10103.525 \times 10^{10}3.525×1010 by 4.7×10−394.7 \times 10^{-39}4.7×10−39 and express the result in scientific notation.

Simplify: $\left(4 x^{5} y^{0}\right)\left(6 x^{0}\right)$

Simplify the expression completely: $\frac{1}{4 y^{-9}}=$ $\square$

Express $\ln \sqrt[3]{54}$ in terms of $\ln 2$ and/or $\ln 3$ . $\ln \sqrt[3]{54}=$ $\square$ (Type an exact answer.)

Simplify these expressions: A) $\sqrt{81}=$ B) $\sqrt{16}=$

Simplify the expression: $\sqrt{162 y^{4} m z^{2}}=$

Simplify these expressions: A) $\sqrt{\sqrt{16}}=$ B) $\sqrt{4}+\sqrt{64}=$

Combine like terms for: $4 x^{2}+5 x^{2}$ , $7 x+3 x$ , $11 x^{5}+6 x$ , and $4 x+2 x+5 x$ .

Calcula y simplifica: $1-\left[\frac{3}{2} \cdot 5-\frac{1}{2} \cdot\left(\frac{2}{3}+\frac{1}{9}\right)\right]$

Calcula y simplifica: $1-\left[\frac{3}{2} \cdot 5-\frac{1}{2} \cdot\left(\frac{2}{3}+\frac{1}{9}\right)\right]$

Calcula y simplifica: $1-\left[\frac{3}{2} \cdot 5-\frac{1}{2} \cdot\left(\frac{2}{3}+\frac{1}{9}\right)\right]=$

Calculate the expression: $\frac{18}{5-2}-5$ .

Calculate: $\frac{15+3}{9} \cdot 7$

Calculate $(9+7)-(7-2)$ .

Calculate $3 \cdot \frac{10}{2+8} \cdot 9$ .

Simplify the expression: $\left(\frac{a^{2}}{b}\right)^{4}\left(\frac{a^{3} b^{2}}{c^{2}}\right)^{3}$ .

Simplify the expression: $(3 z)^{2}(12 z^{3})^{-3}$ .

Convert $.00013$ to scientific notation.

Simplify the expression: $(3 y^{3})^{2}=$

Calculate the value of $-2-(4 * 3)$ .

Simplify: $\sqrt{\frac{49 y^{3}}{5 t^{2}}} =$

Simplify the expression $\frac{\sqrt{15 b^{6} c^{11}}}{\sqrt{5 b^{4} c^{7}}}$ , assuming all variables are positive.

Simplify: $7 \sqrt{24 x} - 6 \sqrt{294 x}$ completely.

Simplify: $3 \sqrt{2} + \sqrt{32}$

Rationalize the denominator of the expression $3+\sqrt{7}$ . What is the simplified result?

Rationalize the denominator of $\frac{6}{3+\sqrt{7}}$ . What is the simplified result?

Calculate $6 \times \frac{2}{3}$ .

Rewrite $x^{\frac{5}{9}}$ as a radical expression. $x^{\frac{5}{9}} =$

Simplify $2 \sqrt[4]{32 x^{19}}$ and express the answer in radical form, assuming $x > 0$ .

Simplify the expression using order of operations: $2[5+4(7 \cdot 4-24)]=$

Simplify the expression: $\frac{1}{5} x + \frac{1}{11}(x + 16)$ .

Write the product with a single base: $((4 x)^{4})^{3}=$

Simplify: $x^{3} y^{3} / x^{3} y^{2}$ . Choose the correct answer: a. $x y$ , b. $x$ , c. $y$ , d. $x y / x$ .

Simplify: $\frac{(9 b)^{6}}{(9 b)^{12}}$

Add $1 / x + 1 / y$ . What is the result? a. $1 /(x+y)$ b. $2 /(x+y)$ c. $(x+y) / xy$ d. $x+y$

Simplify the expression using exponent properties: $\frac{x^{\frac{3}{5}}}{x^{\frac{1}{3}}}=$

Divide $3.525 \times 10^{10}$ by $4.7 \times 10^{-39}$ and express the result in scientific notation.

Simplify $\sqrt{3} \cdot \sqrt{21}$ and provide the answer in exact form.

Simplify $\sqrt{49 m^{5} j^{6}}$ .

Simplify: $2 \sqrt{2}+\sqrt{8}$

Simplify: $15 \sqrt{72 x} - 11 \sqrt{98 x}$

Rationalize the denominator of the expression: $\frac{-4}{6+\sqrt{7}}$ .

Simplify $-5 \sqrt[3]{625 x^{8}}$ fully and express the answer in radical form.

Factor the polynomial completely or state if it's prime: $4 x^{2}-4 x-24$

Factor the polynomial $x^{2}-x-20$ . Options: $(x+1)(x-20)$ , $(x+4)(x-5)$ , $(x+5)(x-4)$ , prime.

Simplify $-5 \sqrt[3]{625 x^{8}}$ and express the answer in radical form.

Factor completely: $\frac{x^{2}-10 x+25 y-y^{2}}{4}+\frac{5}{x}-5$

Factor the equation $x^{2}-10 x+25-y^{2}$ fully.

Factor the polynomial $x^{\frac{2}{3}} - 5x^{\frac{1}{3}} + 6$ .

Factor the expression $25(x+7)^{2}-100$ .

Express 350% as a mixed number in simplest form. $350\% =$

Calculate the result of the expression $30 \cdot 95 / 76$ .

Calculate the value of $30 \cdot 12 / 13$ .

Calculate the value of $30 \cdot 42 / 20$ .

Find the value of $\csc 3150^{\circ}$ .

Simplifique: $\frac{-75}{5}$

Find the simplest form of the quotient: $\frac{12}{7} \div 3$ .

Find the simplest form of the quotient: $\frac{3}{4} \div \frac{5}{16}$ .

Find an equivalent expression for the total cost of gift cards: $14 \ell + 42 a$ .

Calculate $[10 \times(9-2)]+17$ .

Calculate the expression: $48 - 19 - 27 + 9$ .

Calculate $18 \div 3^{2} - 1 + 15$ .

Convert $2^{x}=3$ to logarithmic form.

Solve the equation $3 x - \frac{1}{5} - \frac{2}{9} x = \frac{124}{5}$ . Simplify by combining like terms.

Simplify: $\frac{\left(2 a^{4} b\right)^{2} \times 6\left(a b^{0}\right)^{2}}{a\left(3 b^{5}\right)^{0} \times\left(2 a^{2}\right)^{3}}$

Solve the equation $3x - \frac{1}{5} - \frac{2}{9}x = \frac{124}{5}$ . Combine like terms and isolate $x$ .

Rationalize the denominator of: $\frac{4}{3-\sqrt{7}}$ .

Simplify the expression $(-2 x)(-3 y)+(2 y)(-4 x)$ .